1 (a) Complete the truth tables and name the single logic gate that could replace each
ach logic circuit:
(i)
A Working space
A B X
X
B
0 0
0 1
1 0
1 1
Single logic gate ............................................................................................................ [3
]
(ii)
Working space
A B X
A
0 0
X
0 1
1 0
B
1 1
Single logic gate ............................................................................................................ [3
]
(b) Draw a logic circuit to represent the following logic statement:
(i) X = 1 if (A = 1 AND B = 1) OR ( (B = NOT 1) AND C = 1)
B X
(ii) Complete the truth table for the logic statement in part (b)(i).
Working space
A B C X
0 0 0
0 0 1
0 1 0
0 1 1
1 0 0
1 0 1
1 1 0
1 1 1
3 A logic circuit is shown below.
B
X
C
(a) Complete the truth table for the given logic circuit.
Working space
A B C X
0 0 0
0 0 1
0 1 0
0 1 1
1 0 0
1 0 1
1 1 0
1 1 1
(b) Draw a logic circuit corresponding to this logic statement:
X = 1 if (A is NOT 1) OR ((B is 1 OR C is 1) AND (B is NOT 1 OR A is NOT 1))
B X
(a) Complete the truth table for the NOR gate.
A
X
A B Output (X)
0 0
0 1
1 0
1 1
(b) Write a logic statement that corresponds with the following logic circuit.
A
B
X = ..................................................................................................................................... [3]
S17qp13 last paper
A logic circuit is shown:
(a) Complete the truth table for the given logic circuit.
Working space
A B C X
0 0 0
0 0 1
0 1 0
0 1 1
1 0 0
1 0 1
1 1 0
1 1 1
(b) Explain the difference between the functions of an AND gate and an OR gate.
10 A logic circuit is shown:
W18
Qp1 (a) Complete the truth table for the given logic circuit.
3
Working space
A B C X
0 0 0
0 0 1
0 1 0
0 1 1
1 0 0
1 0 1
1 1 0
1 1 1
(b) Draw a logic circuit corresponding to the logic statement:
X = 1 if ((A is 1 AND B is 1) AND (A is 1 OR C is NOT 1)) OR (B is 1 AND C is NOT 1)
B X